Synthesis of a nonlinear dynamic vibration absorber

Roberson, Robert E.

doi:10.1016/0016-0032(52)90457-2

Cited by 202 publications

(102 citation statements)

References 4 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…A literature review of these topics and the state of the art as of 1995 can be found in the review article by Sun et al (109) . Nonlinearities in tuned absorbers can be used to maximize the vibration suppression bandwidth or reduce the amplitude of the primary system, as described in many papers (110) - (114) . However, nonlinearities can also lead to combination resonances that are not desirable in the system response (115), (116) .…”

Section: Vibration Controlmentioning

confidence: 99%

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

Shaw

Balachandran

2008

JSDD

View full text Add to dashboard Cite

In this article, we provide an overview of a selection of topics of current interest in nonlinear dynamics and vibrations of mechanical systems. Specifically, we cover the traditional topics of structural dynamics, rotating systems, vibration control, vehicle dynamics, and machining, as well as some topics that have emerged more recently, namely micro-and nano-electromechanical systems, piecewise smooth systems, and structural health monitoring and system identification. In the introductory and closing sections, we offer our perspective on the state of affairs in nonlinear dynamics and its utility in the study of mechanical systems.

show abstract

Section: Vibration Controlmentioning

confidence: 99%

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

Shaw

Balachandran

2008

JSDD

View full text Add to dashboard Cite

show abstract

“…The viscous damping coefficient c of the nonlinear attachment was estimated on it separately through the half power points method at low amplitude [13]. Moreover, the stiffnesses 1 k and 3 k of the nonlinear attachment were estimated using the measurements of the static displacement for applied static loads. Above these parameters are listed in Table 1.…”

Section: Parameter Estimation and Model Validationmentioning

confidence: 99%

“…The bandwidth problem was first identified by Roberson [1] who considered the impractical case of an undamped absorber comprising a linear plus cubic spring acting in parallel.. Hunt and Nissen [2] presented a NDVA with a softening spring composed of a stack of Belleville washers to overcome the previous design feasibility. Nissen et al [3] studied the optimal parameters of a NDVA and considered the technical aspects for realization.…”

Section: Introductionmentioning

confidence: 99%

The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

Hsu

Ferguson

Brennan

2013

Topics in Nonlinear Dynamics, Volume 1

View full text Add to dashboard Cite

This paper investigates the physical behaviour and effectiveness of a nonlinear dynamic vibration absorber (NDVA). The nonlinear absorber considered involves a nonlinear hardening spring which was designed and attached to a cantilever beam excited by a shaker. The cantilever beam can be considered at low frequencies as a linear single degree-of-freedom system. The nonlinear attachment is designed to behave as a hardening Duffing oscillator. The nonlinearity of the attachment is due to the particular geometrical configuration undergoing a large amplitude response. The experiment investigated the potential for vibration reduction of the system. Analytical and numerical results are presented and compared. From the measured results it was observed that the NDVA had a much wider effective bandwidth compared to a linear absorber. The frequency response curve of the NDVA has the effect of moving the second resonant peak to a higher frequency away from the tuned frequency so that the device is robust to mistuning.

show abstract

“…Thanks to that simple modification, the TMD can reduce vibrations of the main body in wide range of excitation frequencies around the principal resonance. Another way to broaden the range of TMD's effectiveness was proposed by Roberstson [4] and Arnold [5] who interchange the linear spring of TMD by the nonlinear one (with the linear and nonlinear parts of stiffness). Recently, there are many papers considering new or modified designs as well as new applications of TMDs [6][7][8] In this paper, we investigate the effects of adding an inerter to the TMD taking into account the influence of inerter nonlinearites of different types.…”

Section: Introductionmentioning

confidence: 99%

Effects of play and inerter nonlinearities on the performance of tuned mass damper

Brzeski

Perlikowski

2016

Nonlinear Dyn

View full text Add to dashboard Cite

In this paper, we analyze the dynamics of tuned mass dampers with inerters. In the beginning, we describe the influence of inertance value with respect to the overall mass of the damping device. For further analysis, we pick three practically significant caseseach corresponding to different composition of tuned mass damper inertia. Then, we focus on the effects caused by different types of inerters' nonlinearities. Viscous damping, dry friction and play in the inerter gears influence the dynamics of the tuned mass damper and affect its damping efficiency. Finally, we examine the dynamics of the model that incorporates all of these factors and propose its simplification which is genuine but more convenient. Our results show how to adjust the inerter type and the parameters depending on our needs and intended application. The knowledge on how to model the behavior of tuned mass dampers with inerters will be of practical use to engineers working with mechanical dampers.

show abstract

Synthesis of a nonlinear dynamic vibration absorber

Cited by 202 publications

References 4 publications

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

A Review of Nonlinear Dynamics of Mechanical Systems in Year 2008

The Experimental Performance of a Nonlinear Dynamic Vibration Absorber

Effects of play and inerter nonlinearities on the performance of tuned mass damper

Contact Info

Product

Resources

About